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  4. The smallest number by which 392 should be multiplied so as to get a perfect square is

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Q. The smallest number by which 392 should be multiplied so as to get a perfect square is ___

Squares and Square Roots and Cubes and Cube Roots

Solution:

$392 =2 \times 196 $
$ =2 \times 2 \times 98$
$ =2 \times 2 \times 2 \times 49$
$=2 \times 2 \times 2 \times 7 \times 7$
$ =2^3 \times 7^2$
$\therefore 392$ should be multiplied by 2 so that the product is a perfect square.